1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanya [424]
3 years ago
10

If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?

Mathematics
1 answer:
Xelga [282]3 years ago
5 0

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

You might be interested in
B<br> [2 0]<br> -2 5<br> What is the determinant of B?<br> Your answer
Marianna [84]

Answer:

10

Step-by-step explanation:

Determinant = ad - bc

\det\begin{pmatrix} 2 & 0 \\-2 & 5\end{pmatrix} =\begin{vmatrix} 2 & 0 \\-2 & 5\end{vmatrix} = 2\times5 + 0\times2 = 10

8 0
3 years ago
Which statement best explains why the value of this expression is equal to −812y? 414x − 812y − 414x
GarryVolchara [31]
For this case we have the following expression:
 414x - 812y - 414x
 Rewriting we have:
 414x - 414x - 812y
 We group similar terms:
 (414x - 414x) - 812y
 Adding we have:
 0 - 812y
 - 812y
 Answer:
 
The sum of a number and its opposite is 0, and the sum of any number and 0 is the number itself.
5 0
3 years ago
An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long will it take f
monitta
Selection B is appropriate.

_____
It takes 12 times as long to fill the whole tank as it does to fill 1/12 of the tank.
.. 12 * (1/3 hour) = (1/3)*12 hour
5 0
3 years ago
Read 2 more answers
MATH HELP!!! 100PTS!!!
Lostsunrise [7]

Answer:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Step-by-step explanation:

<u>Given functions</u>:

  p(x)=2x-4

  r(x)=\dfrac{6x-1}{9x+1}

Solve for p(x) = r(x):

\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Therefore:

a=18, \quad b=-40, \quad c=-3

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}

Therefore, the solutions are:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0
2 years ago
A plant produces 500 units/hour of an item with dimensions of 4” x 6” x 2”. The manager wants to store two weeks of supply in co
mart [117]

Answer:

  564 ft²

Step-by-step explanation:

To account for the extra space between units, we can add 2" to every unit dimension and every box dimension to figure the number of units per box.

Doing that, we find the storage box dimensions (for calculating contents) to be ...

  3 ft 2 in × 4 ft 2 in × 2 ft 2 in = 38 in × 50 in × 26 in

and the unit dimensions to be ...

  (4+2)" = 6" × (6+2)" = 8" × (2+2)" = 4"

A spreadsheet can help with the arithmetic to figure how many units will fit in the box in the different ways they can be arranged. (See attached)

When we say the "packing" is "462", we mean the 4" (first) dimension of the unit is aligned with the 3' (first) dimension of the storage box; the 6" (second) dimension of the unit is aligned with the 4' (second) dimension of the storage box; and the 2" (third) dimension of the unit is aligned with the 2' (third) dimension of the storage box. The "packing" numbers identify the unit dimensions, and their order identifies the corresponding dimension of the storage box.

We can see that three of the four allowed packings result in 216 units being stored in a storage box.

If storage boxes are stacked 4 deep in a 9' space, the 2' dimension must be the vertical dimension, and the floor area of each stack of 4 boxes is 3' × 4' = 12 ft². There are 216×4 = 864 units stored in each 12 ft² area.

If we assume that 2 weeks of production are 80 hours of production, then we need to store 80×500 = 40,000 units. At 864 units per 12 ft² of floor space, we need ceiling(40,000/864) = 47 spaces on the floor for storage boxes. That is ...

  47 × 12 ft² = 564 ft²

of warehouse floor space required for storage.

_____

The second attachment shows the top view and side view of units packed in a storage box.

4 0
3 years ago
Other questions:
  • Ryan flew from Wiley Post to Ponca City and back. Ryan maintained an average rate of 450 mph going to Ponca City and an average
    11·1 answer
  • Match the graph with its equation.
    7·1 answer
  • The Great Speedster roller coaster runs 3 trains every 10 minutes. At that rate, how many trains does the roller coaster run eve
    9·1 answer
  • What is 45% of 115? show your work
    6·1 answer
  • Alice and Bob are playing the Smallest Positive Integer Game. Alice says, "My number is 24." Bob says, "What kind of silly small
    5·1 answer
  • Please find x y and z !!!!!! URGENT! Bots taken down
    14·2 answers
  • Im really confused i hope this doesnt take to much time please help it would me so much to me.
    11·1 answer
  • Please help this is due today!!
    6·1 answer
  • The ages of two girls are in the ratio of 2:3 . 6 years hence the ratio of the girls will be 11 : 13 find their present age .​
    11·1 answer
  • 26. In a neighborhood donut shop, one type of donut has 570 calories, seven types of donuts have 600 calories, seven types of do
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!